Question

Assume that when you take a​ bath, you fill a tub to the halfway point. The tub measures 5 feet by 3 feet by 2.8 feet. When you take a​ shower, you use a shower head with a flow rate of 1.52 gallons per​ minute, and you typically spend 12 minutes in the shower. There are 7.5 gallons in one cubic foot.

Answer 1

To compare water usage between taking a half-filled bath and a 12-minute shower, calculate the volume of the tub when filled halfway and convert to gallons, then multiply the shower's flow rate by the time spent showering.

Step-by-step explanation:

Water Usage in Baths vs. Showers

When considering the amount of water used for bathing, it's important to compare the capacity of a bathtub with the water flow from a shower. The bathtub in question has dimensions of 5 feet by 3 feet by 2.8 feet, and if filled halfway, the volume filled with water would be half its total volume. To find this, calculate the total volume by multiplying the dimensions (5 ft x 3 ft x 2.8 ft) and then divide by two. Since there are 7.5 gallons in one cubic foot, this volume can be converted into gallons.

Tanush

For a shower, the flow rate of the showerhead is 1.52 gallons per minute. Over 12 minutes, the amount of water used can be determined by multiplying the flow rate by the time (1.52 gal/min x 12 min).

Comparing these two amounts will show whether a bath or a shower uses more water under the given conditions.

Answer 2

Total water used while taking a bath is half the volume of water in tub.
Volume of water used=(volume)/2
=(5×3×2.8)/2
=42/2
=21 cubic feet

Total amount of water used while taking a shower will be given by:
Total amount of water=rate×time
=1.52×12
=18.24 gallons
Thus amount of water in cubic feet if there are 7.5 gallons in 1 cubic foot will be:
amount=18.24/7.5=2.432 cubic feet.

Therefore the conclusion is, the person is using more water in bathing than shower.